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Finding the Fourth Proportional to 24,399.68, 33,669.68 and 13,644.50

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Solution

The fourth proportional to 24,399.68, 33,669.68 and 13,644.50 is: 18,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.68 : 33,669.68 = 13,644.50 : x
  2. Step 2: Convert to fraction form
    24,399.68/33,669.68 = 13,644.50/x
  3. Step 3: Cross multiply
    24,399.68x = 33,669.68 × 13,644.50
  4. Step 4: Simplify right side
    24,399.68x = 459,405,948.76
  5. Step 5: Solve for x
    x = 459,405,948.76/24,399.68
  6. Step 6: Final answer
    x = 18,828.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.